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arXiv · 2307.15096

q-Nagumo norms and formal solutions to singularly perturbed q-difference equations

Sergio A. Carrillo·Alberto Lastra
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Abstract

The aim of this work is to establish the existence, uniqueness and q-Gevrey character of formal power series solutions of q-analogues of analytic doubly-singular equations. Using a new family of Nagumo norms adapted for q-differences we find new types of optimal divergence associated with these problems. We also provide some examples to illustrate our results.

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Sergio A. Carrillo, Alberto Lastra. 2023-07-27. q-Nagumo norms and formal solutions to singularly perturbed q-difference equations. https://arxiv.org/abs/2307.15096

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